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Finding the Third Proportional to 193,941 and 411,358

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Solution

The third proportional to 193,941 and 411,358 is: 872,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,941 : 411,358 = 411,358 : x
  2. Step 2: Convert to fraction form
    193,941/411,358 = 411,358/x
  3. Step 3: Cross multiply
    193,941x = 411,358 × 411,358
  4. Step 4: Simplify right side
    193,941x = 169,215,404,164
  5. Step 5: Solve for x
    x = 169,215,404,164/193,941
  6. Step 6: Final answer
    x = 872,509.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.